We divide 645632 by 61
Our goal is to divide 645632 by 61.

Let's proceed to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 61

Step 2:
61 can be fit into 64 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 61 from 64 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 61

Advancing to step 3:
If we divide 35 by 61, we get 0 and a remainder of 35.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 35, we end up with 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 61

Moving on to step 4:
The number 61 fits into 356 5 times, leaving a remainder of 51.
The next digit of our result is 5. 
Result so far: 105.0
If we subtract 305 from 356, we get 51.
Grab the next digit (3) from the dividend, add it to 51, then carry on: 513 / 61

Moving on to step 5:
61 can be fit into 513 8 times, resulting in a remainder of 25.
Put 8 as the next digit of the answer. 
Result so far: 1058.0
If we take 488 away from 513, we end up with 25.
Grab the next digit (2) from the dividend, add it to 25, then carry on: 252 / 61

Let's proceed to step 6:
The number 61 fits into 252 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 10584.0
The remainder is 8 after subtracting 244 from 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
61 goes into 80 1 times with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 10584.1
Subtract 61 from 80 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 8:
When dividing 190 by 61, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 10584.13
The remainder is 7 after subtracting 183 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 9:
If we divide 70 by 61, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10584.131
Subtract 61 from 70 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
90 divided by 61 is 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 10584.1311
Subtracting 61 from 90 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Our division results in 10584.1311 with a remaining 0.00029.